1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
6

Remember to show work and explain. Use the math font.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

\large\boxed{1.\ f^{-1}(x)=\sqrt[12]{3^x}}\\\\\boxed{2.\ f^{-1}(x)=\sqrt[4]{3^x}}\\\\\ \boxed{3.\ f^{-1}(x)=\sqrt[3]{4^{7-x}}}

Step-by-step explanation:

(a^n)^m=a^{nm}\\\\\log_ab=c\iff a^c=b\\\\a^{\log_ax}=x\\\\n\log_ab=\log_ab^n\\\\\log_ab+\log_ac=\log_a(bc)\\============================\\\\1.\\y=3\log_3x^4\to y=\log_3(x^4)^3\to y=\log_3x^{12}

2.\\y=\log_3x^4\\\\\text{Exchange x and y. Solve for y:}\\\\\log_3y^4=x\Rightarrow3^{\log_3y^4}=3^x\Rightarrow y^{4}=3^x\\\\y=\sqrt[4]{3^x}\\-------------------------

3.\\y=-\log_4x^3+7\\\\\text{Exchange x and y. Solve for y:}\\\\-\log_4y^3+7=x\qquad\text{subtract 7 from both sides}\\\\-\log_4 y^3=x-7\qquad\text{change the signs}\\\\\log_4y^3=7-x\Rightarrow4^{\log_4y^3}=4^{7-x}\\\\y^3=4^{7-x}\Rightarrow y=\sqrt[3]{4^{7-x}}

You might be interested in
Max is stacking logs at his campground for firewood. After his first load of logs, he has 9 logs on the stack. After his seventh
sleet_krkn [62]

Answer:

D an = 9 + 7(n-1)

Step-by-step explanation:

In the question, Max has 9 logs in the first load. But, after the seventh load he has a total of 51 logs. So the n would be your logs in the stack, which is 51. And since there is a total of 51 logs after the seventh load. It would be 9 plus 7 in parenthesis of  51 minus one, which is 50. So 50 times 7 comes down to 350 plus nine which comes down to a total of 359.

8 0
3 years ago
Read 2 more answers
For every $5 Micah saves, his parents give him $10.
Alona [7]
150/5 =30, 30•10=300
8 0
3 years ago
What is the solution to the equation?<br> -4 = 1<br> .<br> Enter your answer in the box.<br> X=
beks73 [17]

Step-by-step explanation:

I'm not sure about my answer

6 0
2 years ago
Leena bought 14 yards of wire. How many inches of wire did she buy? (1 yard = 36 inches)
Anastasy [175]

Answer:

D

Step-by-step explanation:

1 yard=3 feet=36

14 yards x 36= 504

14 yards = 504 inches

mark as brainliest :)

7 0
3 years ago
Read 2 more answers
What is the surface area of an orange with a 3inch radius
svp [43]

Orange = sphere

S.A of sphere

= 4πr²

= 4 × π × r × r

= 4 \times \pi\times 3 \times 3

= 36\pi

3 0
3 years ago
Read 2 more answers
Other questions:
  • Whats the answer to this equation 10-4=9-[]​
    9·2 answers
  • Find the value of X in the diagram below.
    9·1 answer
  • Think I know what the answer is but not sure. Hope someone can.help
    15·2 answers
  • Since at t=0, n(t)=n0, and at t=∞, n(t)=0, there must be some time between zero and infinity at which exactly half of the origin
    8·1 answer
  • I've been stuck on this for a long time. I would greatly appreciate help.
    5·1 answer
  • Will mark brainiest for the first one with the correct answer.
    7·2 answers
  • Factor the following completely.<br><br> r^2 - 14r -50
    13·1 answer
  • 3x-3y-5z=-24 <br>6x+y-z=-27<br>-3x+2y+6z=21<br>​
    5·1 answer
  • Calculate the area of the triangle with the following vertices. Include the matrix with your work. (-5, 1), (2, 9), and (-5, 9)
    10·1 answer
  • City R has a temperature of −2 °F. City S has a temperature of −6 °F. Use the number line shown to answer the questions: Number
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!